/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 2.131 Graph on the number line: 鈸 x ... [FREE SOLUTION] | 91影视

91影视

Graph on the number line: 鈸 x 鈮 鈭 1 鈸 x > 2 鈸 x < 3

Short Answer

Expert verified

The required graph will be as shown below:

Step by step solution

01

Step 1. Given information

The inequalities given are:

鈸 x 鈮 鈭 1

鈸 x > 2

鈸 x < 3

We have to plot the graph of the given inequalities.

02

Part (a) Step 1. Plotting the inequality x ≤ − 1.

Now,

x 鈮 鈭 1 means all numbers less than or equal to -1.

Therefore, we shade in all the numbers on the number line to the left of -1 and put a solid circle at x = -1 to show that it is included.

The graph will be as shown below.

03

Part (b) Step 1. Plotting the inequality x > 2 .

Now,

x > 2 means all numbers greater than 2, but not including 2.

Therefore, we shade in all the numbers on the number line to the right of 2, then put a hollow circle at x = 2 to show it is not included.

04

Part (c) Step 1. Plotting the inequality x < 3.

x < 3 means all numbers less than 3, but not including 3.

Therefore, we shade in all the numbers on the number line to the left of 3 and put a hollow circle at x = 3 to show it is not included.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.